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Journal of Experimental and Theoretical Physics Letters

Boltzmann spectral distribution or “infrared catastrophe” in the resonance radiation of a gas

Yu. K. Zemtsov, A. Yu. Sechin, A. N. Starostin, Alexei G. Leonov, Dmitriy I. Chekhov

Published Jun 1, 1997• 2 citations
Publisher

Abstract

The purely thermal infrared emission spectra of a resonance medium (sodium vapor) are investigated experimentally. It is shown that the emission intensity in the 2–3 μm range at temperatures of 600–1200 K is several orders of magnitude higher than the intensity obtained from the standard theory of resonance radiation transfer. This phenomenon can be conventionally termed an “infrared catastrophe.” The form of the recorded spectra and the absolute intensity of the emission in both the infrared and visible regions of the spectrum are in agreement with the theory developed by Yu. L. Zemtsov and A. M. Starostin, Zh. Éksp. Teor. Fiz. 103 , 345 (1993) [JETP 76 , 186 (1993)], in which the Boltzmann spectral distribution of the population of the resonance level is proportional to exp(−ħω/ T ).

DOI
10.1134/1.567434

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The purely thermal infrared emission spectra of a resonance medium (sodium vapor) are investigated experimentally. It is shown that the emission intensity in the 2–3 μm range at temperatures of 600–1200 K is several orders of magnitude higher than the intensity obtained from the standard theory of resonance radiation transfer. This phenomenon can be conventionally termed an “infrared catastrophe.” The form of the recorded spectra and the absolute intensity of the emission in both the infrared and visible regions of the spectrum are in agreement with the theory developed by Yu. L. Zemtsov and A. M. Starostin, Zh. Éksp. Teor. Fiz. 103 , 345 (1993) [JETP 76 , 186 (1993)], in which the Boltzmann spectral distribution of the population of the resonance level is proportional to exp(−ħω/ T ).
The thermal luminescence spectra of a dense, nonuniformly heated resonance medium (sodium vapor) are investigated experimentally under conditions when the resonance corrections to the relative permittivity are not small compared to unity and the photon mean free path is comparable to the wavelength of the radiation. The shape of the recorded spectra agrees well with a previously developed general theory of resonance radiation transfer which predicts a strong asymmetry of the spectra. The prospects for performing more-sensitive measurements in order to make a quantitative check of the theoretically predicted anomalous intensity (an order of magnitude higher than in the standard theory of resonance radiation transfer) of the radiation from a dense nonuniform medium are discussed.
Temporal spiking of directional infrared and ultraviolet cooperative emission from sodium vapors excited to the 4D5/24D_{5/2}4D5/2​ level with a continuous-wave resonant laser pump is analyzed. Mirrorless lasing at 2207 and 2338 nm on cascade population-inverted transitions and radiation at 330 nm generated due to four-wave mixing demonstrate a high degree of intensity correlation.
Coherent emission on the 3 P –3 S resonance transition ( D line) of nonresonantly excited sodium atoms in a buffer gas atmosphere is studied experimentally and theoretically. Both forward and backward coherent emission on the D lines is observed relative to the propagation direction of a pump beam whose frequency is blue-shifted from resonance. The divergence of the emitted radiation does not exceed that of the pump beam. The emission is due to the population inversion created on the “operating” transition when the pump is far detuned from resonance and the buffer gas pressure is sufficiently high. It is found that both emission intensity and the detuning range where this phenomenon is observed increase with the buffer gas pressure.
The theory of the line shape in coherent resonant absorption and emission in the infrared and optical region is developed. The Dicke spin model and the Lorentz oscillator model of a radiating molecule are discussed in detail, and the complications arising for degenerate levels are analyzed. The absorption and emission spectra are expressed in terms of the damped normal modes of the system of equivalent oscillators interacting via the retarded dipole–dipole interaction, and the results are shown to be identical with those derived using Heitler's quantum theory of radiation damping. The theory is applied to small clusters and linear chains of molecules. For a chain that is small compared with the wavelength, the natural line width is proportional to the total number of molecules, whereas for a long chain the width approaches a constant value. The discussion of three-dimensional systems, and the application to the zero-phonon lines in the infrared spectrum of solid hydrogen will be given in a separate paper.
A study was made of the dependences of the efficiency of resonant parametric frequency conversion in sodium vapor on the infrared radiation wavelength, vapor density, and detuning from two-photon pump resonance. It was found in this conversion system that for each infrared wave the conversion efficiency had three maxima on tuning the frequency of two-photon pumping over the region of a forbidden transition. The principal maximum was realized for accurate two-photon resonance, and the two other maxima resulted from a rise in the cubic susceptibility close to single-photon sum-frequency resonances. A quantum efficiency of 35% was achieved for a 9.26 μ infrared wave.
The theory of coherent population trapping resonance is developed for the finite linewidth of the laser radiation spectrum in an optically dense medium of Λ atoms in a cell with a buffer gas. Equations are derived for the atomic density matrix and laser emission spectrum transfer in a cell with working and buffer gases at a finite temperature. The dependence of the quality factor of coherent population trapping resonance on the linewidth of the laser radiation spectrum is studied by measuring transmitted radiation and fluorescence signals.